The solubility of substitutional solutes in binary orderable alloys with a bee structure was calculated. Below the ordering temperature, the solubility was shown to vary with temperature in a very complex manner; above the order-disorder transition, the variation of the solubility can be represented by the Arrhenius law with an energy of dissolution weakly varying with temperature. Due to short-range order, the solubility decreases at the ends of the concentration range as compared to the alloy with an independent distribution of atoms over the lattice sites. In the region of intermediate composition, the change in the energy of dissolution can be negative or positive, depending on the ratio between the parameters of interatomic interaction.